Question

following are the ages of 9 children in a group find their mean median 13,10,9,11,12,14,12,15,12​

Answer 1

Answer:

x 10 11 12 13 1415

f 1 4 7 5 9 8

for a frequency distribution,

So, total number of observation =(1+4+7+5+9+8)=34

It is a even number.

So, median is the value of average of values at ( 2n) th and ( 2n+2 ) th .

∴ Here, median is the average of the values at ( 234 ) th or 17 th position and ( 234+2 )th or 18 th position.

x 10 11 12 13 14 15

f 1 4 7 5 9 8

position

1

1+4=5

5+7=12

12+5=17

17+9=26

26+8=34

So, value of x at 17

th

position is 13 and at 18

th

position is 14.

∴Median=(

2

13+14

)=

2

27

=13.5.

Mode for a frequency distribution is the value which is the most common frequent value.

Here 14 has frequency 9 which is highest. So, mode for the frequency distribution is 14.